CN105507870A - Sandstone-reservoir non-sand-filled hydraulic fracture conductivity determination method - Google Patents

Sandstone-reservoir non-sand-filled hydraulic fracture conductivity determination method Download PDF

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CN105507870A
CN105507870A CN201511024217.7A CN201511024217A CN105507870A CN 105507870 A CN105507870 A CN 105507870A CN 201511024217 A CN201511024217 A CN 201511024217A CN 105507870 A CN105507870 A CN 105507870A
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sand
fracture
crack
hydraulic fracture
particle
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CN105507870B (en
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严向阳
王腾飞
徐永辉
严俊红
何双喜
万楷
陈林
张翠
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Yan'an Energy Service Co., Ltd.
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Yanan Energy Chemical (group) Can Be A New Oil And Gas Technology Engineering Co Ltd
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    • E—FIXED CONSTRUCTIONS
    • E21—EARTH OR ROCK DRILLING; MINING
    • E21B—EARTH OR ROCK DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B43/00—Methods or apparatus for obtaining oil, gas, water, soluble or meltable materials or a slurry of minerals from wells
    • E21B43/25—Methods for stimulating production
    • E21B43/26—Methods for stimulating production by forming crevices or fractures

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  • Engineering & Computer Science (AREA)
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  • Mining & Mineral Resources (AREA)
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  • Environmental & Geological Engineering (AREA)
  • Fluid Mechanics (AREA)
  • General Life Sciences & Earth Sciences (AREA)
  • Geochemistry & Mineralogy (AREA)
  • Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)
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Abstract

The invention specifically provides a sandstone-reservoir non-sand-filled hydraulic fracture conductivity determination method. A non-sand-filled hydraulic fracture mathematical model is created based on related theories of mathematics, rock mechanics and the like by comprehensively considering influences on hydraulic fracture conductivity due to rock particle size, closure stress, particle paving layers under the condition of filling hydraulic fractures with particles and particle breakage and through analyzing closure characteristics of the non-sand-filled hydraulic fractures. By the method, calculation bases are provided for calculating non-sand-filled hydraulic fracture conductivity, conductivity of the hydraulic fractures without sand fracturing, induced fractures without effective support formed in the hydraulic sand fracturing process or fractures on the finger tip parts of major fractures can be researched more accurately, and bases are provided for optimal design of hydraulic fracture of oil-gas wells.

Description

A kind of sandstone reservoir is without back-up sand hydraulic fracture flow conductivity defining method
Technical field
The present invention relates to the research field of hydraulic fracturing technology, be specifically related to a kind of sandstone reservoir without back-up sand hydraulic fracture flow conductivity defining method.
Background technology
Hydraulic fracturing technology is that Low permeable oil and gas reservoirs develops the most frequently used technology, is the effective technology improving Low permeable oil and gas reservoirs production capacity, particularly at the reservoir of quality preservation difference, and that hydraulic fracturing technology has become the key developing this kind of reservoir and the technology that must adopt.
Fracture condudtiviy is one of major parameter of hydraulic fracturing technology pursuit, vital effect is played to production capacity after the pressure of Oil/gas Well, often fracture condudtiviy size directly determines the height of the rear production capacity of fractured well pressure, and therefore studying fracture condudtiviy has very important meaning to fracturing optimization.In the past fracture condudtiviy mainly by experiment mode obtain, only have less theoretical calculation model to determine sand packed fracture flow conductivity, and the Theoretical Determination of non-back-up sand hydraulic fracture flow conductivity also do not had.Study non-back-up sand hydraulic fracture flow conductivity, can not the back-up sand hydraulic fracture flow conductivity method of routine be directly applied in non-back-up sand hydraulic fracture, this is that the research of non-back-up sand hydraulic fracture flow conductivity brings inconvenience, be unfavorable for the design optimization of hydraulically fractured wells, be also unfavorable for the research of hydraulic fracture and the support hydraulic fracture flow conductivity not yet in effect that sandstone reservoir not sand fracturing is formed.
Summary of the invention
The object of the invention is to overcome above-mentioned existing issue, for this reason, the invention provides a kind of sandstone reservoir without back-up sand hydraulic fracture flow conductivity defining method, comprise the steps:
1) reservoir granularity is obtained, reservoir closure stress, hydraulic fracture length and height;
2) according to assumed condition, set up distribution of particles model, and calculate crack endoparticle quantity, fracture porosity and crack width accordingly;
3) according to Gao Caini-Kalman about permeability and pore structure relation formula, derive sandstone reservoir only consider in wall particles supports situation without sand packed fracture flow conductivity design formulas:
F C D = ( L f H f 2 6 3 R - 2 3 πNR 3 ) r 2 × 10 14 8 τ 2 L f H f
In formula:
N = 2 × [ ( H f - 2 R 3 / 2 × 2 R + 1 ) int - 1 ] × ( L f 2 R ) int
F cDfor only consider in wall particles supports situation without sand packed fracture flow conductivity, unit is μm 2cm;
L ffor hydraulic fracture height, unit is m;
H ffor hydraulic fracture length, unit is m;
N is the protruding number of spherical particle total in crack;
R is spherical particle radius, and unit is m;
τ is hole tortuosity;
R is the pore radius of supporting crack, and unit is m.
4) in step 3) basis on, to make the fracture condudtiviy computation model under Laminar Flow about coarse fracture faces in conjunction with Walsh, consider under drawing this kind of situation under closure stress without sand packed fracture flow conductivity design formulas:
F CD , = K f W f ( L f H f 2 6 3 R - 2 3 πNR 3 ) r 2 × 10 14 8 τ 2 L f H f × [ 1 - 2 μ w σ 0 ln ( σ σ 0 ) ] 3
In formula:
F cD 'for consider under closure stress without sand packed fracture flow conductivity, unit is μm 2cm;
W ffor hydraulic fracture width, unit is m;
μ is fracture faces asperities height root mean square, and unit is m;
σ is closure stress, and unit is MPa;
σ 0for first closure stress, unit is Mpa
W σ 0for first closure stress σ 0crack width under effect, unit is m.
5) occur to peel off in hydraulic fracturing process and feature laid in crack according to hydraulic fracture wall particle, and lift-off particles is that the uniform-spherical layered arrangement that also assumes diamond in shape is laid in hypothesis seam, then utilize mathematical knowledge, can draw and consider that rock particles peels off the flow conductivity design formulas of supporting crack:
F C D s = K f W f ( L f H f 2 ( n - 1 ) R 6 3 - 4 3 πN s R 3 + 2 πR 3 3 N ) r 2 × 10 14 8 τ 2 L f H f
In formula:
N s = { n × [ ( H f - 2 R 3 / 2 × 2 R + 1 ) int - 1 ] - M } × ( L f 2 R ) int
F cDsfor considering that rock particles peels off the hydraulic fracture flow conductivity in rear support hydraulic fracture situation;
N sfor considering that rock particles to peel off in rear support hydraulic fracture situation total spherical particle number in crack;
N lays the number of plies in crack, containing particle convexity layer;
M is constant, gets 1 or 0.
6) in step 5) in formula basis on suppose in crack lay rock particles indeformable not broken under original closure stress; Do not deform under high closure stress and only fragmentation occurs, and particle is evenly broken in whole crack, the broken thing formed after Particle Breakage only deforms not filling pore, and non-crushed particles still assumes diamond in shape arrangement; The rock particles of crack wall projection deforms in no instance and also fragmentation does not occur, then in conjunction with Harding's Particle Breakage rate computation model, consider the fracture condudtiviy design formulas without back-up sand of Particle Breakage under obtaining this kind of situation:
In formula
F ' cDfor the water fracture condudtiviy without back-up sand in consideration Particle Breakage situation;
W f0for original fracture width, unit is m;
for fracture porosity, represent with percentage,
for the fracture porosity under reset condition, represent with percentage;
δ is Particle Breakage rate, represents with percentage,
W ' ffor considering crack width in broken situation, unit is m.
Above-mentioned steps 1) in reservoir granule size utilize laboratory method to obtain, reservoir closure stress size utilizes three-dimensional stress experimental result or pressing crack construction analytical calculation, hydraulic fracture length and highly can utilize micro-seismic monitoring, well temperature testing or pressure post analysis obtain.
Above-mentioned steps 2) assumed condition be: according to without back-up sand hydraulic fracture arrangement for closed configuration, suppose rock formation uniform particles, wall particle projection is in hemispherical, seam endoparticle is spherical, is arranged as rhombus, layered arrangement, and it is not particle is indeformable in prime stratum situation, broken.
Wall particle protruding number in above-mentioned crack can see the granule number that rock particles embeds crack wall half as.
Beneficial effect of the present invention:
(1) this sandstone reservoir of the present invention without back-up sand hydraulic fracture flow conductivity defining method based on the correlation theory such as mathematics and rock mechanics, and considered rock particles particle diameter, closure stress, in particles filled hydraulic fracture situation, the laid number of plies of particle and Particle Breakage are on the impact of hydraulic fracture flow conductivity, by the feature after analyzing non-back-up sand hydraulic fracture and closing, establish non-back-up sand hydraulic fracture Mathematical Modeling, establish respectively in conjunction with Gao Caini-Karman formula and only consider that wall particles supports and rock particles peel off sandstone reservoir in the situation of rear support crack without back-up sand hydraulic fracture flow conductivity defining method, and on the basis of this model, utilize Walsh model and harding model, establish the hydraulic fracture flow conductivity defining method in consideration formation closure stress and the broken situation of rock particles respectively.
(2) this sandstone reservoir of the present invention is mainly applicable to calculating without back-up sand hydraulic fracture or the fracture condudtiviy do not added in sand fracturing situation of Oil/gas Well fracturing without back-up sand hydraulic fracture flow conductivity defining method.But the flow conductivity of intrinsic fracture can be calculated after computational methods of the present invention carry out suitable distortion, and during productivity simulation calculates after can being applied to fracturing pressure, fracturing design optimization is had great importance.
(3) this sandstone reservoir of the present invention to consider in rock particles particle diameter, closure stress, particles filled hydraulic fracture situation the laid number of plies of particle and Particle Breakage to the impact of hydraulic fracture flow conductivity without back-up sand hydraulic fracture flow conductivity defining method, by the feature after analyzing non-back-up sand hydraulic fracture and closing, utilize mathematics and mechanical knowledge, establish non-back-up sand hydraulic fracture flow conductivity computation model, Research Thinking comparatively is accurately provided to the hydraulic fracture flow conductivity research in non-back-up sand situation.
(4) this sandstone reservoir of the present invention passes through to obtain reservoir granule size with laboratory method without back-up sand hydraulic fracture flow conductivity defining method, by three-dimensional stress experimental result or pressing crack construction analytical calculation reservoir closure stress size, obtain hydraulic fracture height and length by micro-seismic monitoring, well temperature testing or pressure post analysis, further ensure the accuracy of result of calculation.
Below with reference to accompanying drawing, the present invention is described in further details.
Accompanying drawing explanation
Fig. 1 sandstone reservoir of the present invention is without back-up sand hydraulic fracture flow conductivity defining method flow chart;
Fig. 2 is the hydraulic fracture sectional drawing only considered under wall rock particles raised support;
Fig. 3 is the laid schematic diagram of hydraulic fracture endoparticle.
Detailed description of the invention
Embodiment 1:
Present embodiments provide a kind of sandstone reservoir as shown in Figure 1 without back-up sand hydraulic fracture flow conductivity defining method, it is characterized in that: comprise the steps:
1) reservoir granularity is obtained, reservoir closure stress, hydraulic fracture length and height;
2) according to assumed condition, set up distribution of particles model, and calculate crack endoparticle quantity, fracture porosity and crack width accordingly;
3) according to Gao Caini-Kalman about permeability and pore structure relation formula, derive sandstone reservoir only consider in wall particles supports situation without sand packed fracture flow conductivity design formulas:
F C D = ( L f H f 2 6 3 R - 2 3 πNR 3 ) r 2 × 10 14 8 τ 2 L f H f
In formula:
N = 2 × [ ( H f - 2 R 3 / 2 × 2 R + 1 ) int - 1 ] × ( L f 2 R ) int
F cDfor only consider in wall particles supports situation without sand packed fracture flow conductivity, unit is μm 2cm;
L ffor hydraulic fracture height, unit is m;
H ffor hydraulic fracture length, unit is m;
N is the protruding number of spherical particle total in crack;
R is spherical particle radius, and unit is m;
τ is hole tortuosity;
R is the pore radius of supporting crack, and unit is m.
4) in step 3) basis on, to make the fracture condudtiviy computation model under Laminar Flow about coarse fracture faces in conjunction with Walsh, consider under drawing this kind of situation under closure stress without sand packed fracture flow conductivity design formulas:
F CD , = K f W f ( L f H f 2 6 3 R - 2 3 πNR 3 ) r 2 × 10 14 8 τ 2 L f H f × [ 1 - 2 μ w σ 0 ln ( σ σ 0 ) ] 3
In formula:
F cD 'for consider under closure stress without sand packed fracture flow conductivity, unit is μm 2cm;
W ffor hydraulic fracture width, unit is m;
μ is fracture faces asperities height root mean square, and unit is m;
σ is closure stress, and unit is MPa;
σ 0for first closure stress, unit is Mpa
W σ 0for first closure stress σ 0crack width under effect, unit is m.
5) occur to peel off in hydraulic fracturing process and feature laid in crack according to hydraulic fracture wall particle, and lift-off particles is that the uniform-spherical layered arrangement that also assumes diamond in shape is laid in hypothesis seam, then utilize mathematical knowledge, can draw and consider that rock particles peels off the flow conductivity design formulas of supporting crack:
F C D s = K f W f ( L f H f 2 ( n - 1 ) R 6 3 - 4 3 πN s R 3 + 2 πR 3 3 N ) r 2 × 10 14 8 τ 2 L f H f
In formula:
N s = { n × [ ( H f - 2 R 3 / 2 × 2 R + 1 ) int - 1 ] - M } × ( L f 2 R ) int
F cDsfor considering that rock particles peels off the hydraulic fracture flow conductivity in rear support hydraulic fracture situation;
N sfor considering that rock particles to peel off in rear support hydraulic fracture situation total spherical particle number in crack;
N lays the number of plies in crack, containing particle convexity layer;
M is constant, gets 1 or 0.
6) in step 5) in formula basis on suppose in crack lay rock particles indeformable not broken under original closure stress; Do not deform under high closure stress and only fragmentation occurs, and particle is evenly broken in whole crack, the broken thing formed after Particle Breakage only deforms not filling pore, and non-crushed particles still assumes diamond in shape arrangement; The rock particles of crack wall projection deforms in no instance and also fragmentation does not occur.Then in conjunction with harding model percentage of damage computation model, under obtaining this kind of situation, consider the fracture condudtiviy design formulas without back-up sand under Particle Breakage:
In formula
F ' cDfor the water fracture condudtiviy without back-up sand in consideration Particle Breakage situation;
W f0for original fracture width, unit is m;
for fracture porosity, represent with percentage,
for the fracture porosity under reset condition, represent with percentage;
δ is Particle Breakage rate, represents with percentage,
W ' ffor considering crack width in broken situation, unit is m.
This sandstone reservoir of this invention to consider in rock particles particle diameter, closure stress, particles filled hydraulic fracture situation the laid number of plies of particle and Particle Breakage to the impact of hydraulic fracture flow conductivity without back-up sand hydraulic fracture flow conductivity defining method, by the feature after analyzing non-back-up sand hydraulic fracture and closing, utilize mathematics and mechanical knowledge, establish non-back-up sand hydraulic fracture flow conductivity computation model, Research Thinking comparatively is accurately provided to the hydraulic fracture flow conductivity research in non-back-up sand situation.
Embodiment 2:
In order to ensure the accuracy of result of calculation, on the basis of embodiment 1, present embodiments provide a kind of sandstone reservoir as shown in Figure 1 without back-up sand hydraulic fracture flow conductivity defining method, described step 1) in reservoir granule size utilize laboratory method to obtain, reservoir closure stress size utilizes three-dimensional stress experimental result or pressing crack construction analytical calculation, hydraulic fracture length and highly utilize micro-seismic monitoring, well temperature testing or pressure post analysis obtain.
Embodiment 3:
Present embodiments provide a kind of sandstone reservoir as shown in Figure 1 without back-up sand hydraulic fracture flow conductivity defining method, utilize laboratory particle size method to obtain reservoir granule size; Utilize three-dimensional stress experimental result or pressing crack construction analytical calculation reservoir closure stress size; Micro-seismic monitoring, well temperature testing or pressure post analysis is utilized to obtain hydraulic fracture length and height.
1, the hydraulic fracture flow conductivity computation model only considered under wall roughness is set up
Suppose that stratum is homogeneous reservoir, rock particles is even and in spherical, in prime stratum situation, particle is indeformable, not broken; Crack wall projection is in hemispherical, and diamond array (Fig. 2).Then can obtain the protruding number of wall particle is:
N = 2 × [ ( H f - 2 R 3 / 2 × 2 R + 1 ) int - 1 ] × ( L f 2 R ) int
According to the concept of degree of porosity, assumed condition and geometric knowledge, can obtain:
Above formula is brought into the relational expression of Gao Caini-Kalman about permeability and pore structure, according to fracture condudtiviy definition, the hydraulic fracture flow conductivity design formulas only considered under wall roughness can be obtained:
F C D = K f W f = ( L f H f W f - 2 3 πNR 3 ) r 2 × 10 14 8 τ 2 L f H f
2, the hydraulic fracture flow conductivity computation model under consideration clossing pressure is set up
The hydraulic fracture flow conductivity design formulas only considered under wall roughness is brought in the fracture condudtiviy computation model that Walsh does about coarse fracture faces under Laminar Flow, can consider in closure stress situation without sand packed fracture flow conductivity design formulas:
F CD , = K f W f ( L f H f 2 6 3 R - 2 3 πNR 3 ) r 2 × 10 14 8 τ 2 L f H f × [ 1 - 2 μ w σ 0 ln ( σ σ 0 ) ] 3
3, the hydraulic fracture flow conductivity computation model in consideration wall roughness and particle stripping filling situation is set up
Except above-mentioned hypothesis, suppose that the particle in hydraulic fracture does not embed stratum, and particle under reset condition in crack is not broken, indeformable; Crack endoparticle is spherical, by diamond array, and stratiform superposition (Fig. 3).
According to assumed condition, then the spherical particle number that crack is total is:
N s = { n × [ ( H f - 2 R 3 / 2 × 2 R + 1 ) int - 1 ] - M } × ( L f 2 R ) int
According to geometric knowledge, crack width can be obtained; The particle facing crack wall is regarded as " embedding " stratum half, embedding volume can be calculated.Be similar to the hydraulic fracture flow conductivity computation model processing method only considered under wall rock particles projection, then:
F C D s = K f W f ( L f H f 2 ( n - 1 ) R 6 3 - 4 3 πN s R 3 + 2 πR 3 3 N ) r 2 × 10 14 8 τ 2 L f H f
4, the hydraulic fracture flow conductivity computation model under the high closure stress of foundation consideration in Particle Breakage situation:
Suppose that the rock particles laid in crack is indeformable not broken under original closure stress; Indeformable fragmentation under high closure stress, and particle is evenly broken in whole crack, the broken thing formed after Particle Breakage only deforms not filling pore, and non-crushed particles still assumes diamond in shape arrangement; The rock particles of crack wall projection deforms in no instance and also fragmentation does not occur.
According to space conservation law, then the width that crack is average becomes:
W f ′ = W f 0 - 4 πR 3 ( N s - N ) δ / 3 L f H f
Because the fragmentation of intermediate particle layer can cause total porosity to diminish, then under considering broken situation, fracture porosity becomes:
According to Gao Caini-Kalman's permeability and degree of porosity structural relation formula, then the flow conductivity in crack is in that case:
In sum, the present invention is based on the correlation theory such as mathematics and rock mechanics, and considered rock particles particle diameter, closure stress, in particles filled hydraulic fracture situation, the laid number of plies of particle and Particle Breakage are on the impact of hydraulic fracture flow conductivity, by the feature after analyzing non-back-up sand hydraulic fracture and closing, establish non-back-up sand hydraulic fracture Mathematical Modeling, establish respectively in conjunction with Gao Caini-Karman formula and only consider that wall particles supports and rock particles peel off sandstone reservoir in the situation of rear support crack without back-up sand hydraulic fracture flow conductivity defining method, and on the basis of this model, utilize Walsh model and harding model, establish the hydraulic fracture flow conductivity defining method in consideration formation closure stress and the broken situation of rock particles respectively.The present invention can provide basis to the calculating of non-back-up sand hydraulic fracture flow conductivity, also the induction generation crack or major fracture finger ends split flow ability that are not formed and effectively support can be studied in hydraulic fracturing process more accurately, for Oil/gas Well fracturing optimal design provides foundation.
More than exemplifying is only illustrate of the present invention, does not form the restriction to protection scope of the present invention, everyly all belongs within protection scope of the present invention with the same or analogous design of the present invention.

Claims (4)

1. sandstone reservoir is without a back-up sand hydraulic fracture flow conductivity defining method, it is characterized in that: comprise the steps:
1) reservoir granularity is obtained, reservoir closure stress, hydraulic fracture length and height;
2) according to assumed condition, set up distribution of particles model, and calculate crack endoparticle quantity, fracture porosity and crack width accordingly;
3) according to Gao Caini-Kalman about permeability and pore structure relation formula, derive sandstone reservoir only consider in wall particles supports situation without sand packed fracture flow conductivity design formulas:
F C D = ( L f H f 2 6 3 R - 2 3 πNR 3 ) r 2 × 10 14 8 τ 2 L f H f
In formula:
N = 2 × [ ( H f - 2 R 3 / 2 × 2 R + 1 ) int - 1 ] × ( L f 2 R ) int
F cDfor only consider in wall particles supports situation without sand packed fracture flow conductivity, unit is μm 2cm;
L ffor hydraulic fracture height, unit is m;
H ffor hydraulic fracture length, unit is m;
N is the protruding number of spherical particle total in crack;
R is spherical particle radius, and unit is m;
τ is hole tortuosity;
R is the pore radius of supporting crack, and unit is m.
4) in step 3) basis on, to make the fracture condudtiviy computation model under Laminar Flow about coarse fracture faces in conjunction with Walsh, consider under drawing this kind of situation under closure stress without sand packed fracture flow conductivity design formulas:
F CD ′ = K f W f = ( L f H f 2 6 3 R - 2 3 πNR 3 ) r 2 × 10 14 8 τ 2 L f H f × [ 1 - 2 μ W σ 0 ln ( σ σ 0 ) ] 3
In formula:
F cD 'for consider under closure stress without sand packed fracture flow conductivity, unit is μm 2cm;
W ffor hydraulic fracture width, unit is m;
μ is fracture faces asperities height root mean square, and unit is m;
σ is closure stress, and unit is MPa;
σ 0for first closure stress, unit is Mpa
W σ 0for first closure stress σ 0crack width under effect, unit is m.
5) occur to peel off in hydraulic fracturing process and feature laid in crack according to hydraulic fracture wall particle, and lift-off particles is that the uniform-spherical layered arrangement that also assumes diamond in shape is laid in hypothesis seam, then utilize mathematical knowledge, can draw and consider that rock particles peels off the flow conductivity design formulas of supporting crack:
F C D s = K f W f = ( L f H f 2 ( n - 1 ) R 6 3 - 4 3 πN s R 3 + 2 πR 3 3 N ) r 2 × 10 14 8 τ 2 L f H f
In formula:
N s = { n × [ ( H f - 2 R 3 / 2 × 2 R + 1 ) int - 1 ] - M } × ( L f 2 R ) int
F cDsfor considering that rock particles peels off the hydraulic fracture flow conductivity in rear support hydraulic fracture situation;
N sfor considering that rock particles to peel off in rear support hydraulic fracture situation total spherical particle number in crack;
N lays the number of plies in crack, containing particle convexity layer;
M is constant, gets 1 or 0.
6) in step 5) in formula basis on suppose in crack lay rock particles indeformable not broken under original closure stress; Do not deform under high closure stress and only fragmentation occurs, and particle is evenly broken in whole crack, the broken thing formed after Particle Breakage only deforms not filling pore, and non-crushed particles still assumes diamond in shape arrangement; The rock particles of crack wall projection deforms in no instance and also fragmentation does not occur, then in conjunction with Harding's Particle Breakage rate computation model, consider the fracture condudtiviy design formulas without back-up sand of Particle Breakage under obtaining this kind of situation:
In formula
F ' cDfor the water fracture condudtiviy without back-up sand in consideration Particle Breakage situation;
W f0for original fracture width, unit is m;
for fracture porosity, represent with percentage,
for the fracture porosity under reset condition, represent with percentage;
δ is Particle Breakage rate, represents with percentage,
W ' ffor considering crack width in broken situation, unit is m.
2. a kind of sandstone reservoir as claimed in claim 1 is without back-up sand hydraulic fracture flow conductivity defining method, it is characterized in that: described step 1) in reservoir granule size utilize laboratory method to obtain, reservoir closure stress size utilizes three-dimensional stress experimental result or pressing crack construction analytical calculation to obtain, hydraulic fracture length and highly can utilize the method acquisitions such as micro-seismic monitoring, well temperature testing or pressure post analysis.
3. a kind of sandstone reservoir as claimed in claim 1 is without back-up sand hydraulic fracture flow conductivity defining method, it is characterized in that: described step 2) assumed condition be: according to without back-up sand hydraulic fracture arrangement for closed configuration, suppose rock formation uniform particles, wall particle projection is in hemispherical, be arranged as rhombus, layered arrangement, and particle is indeformable in prime stratum situation, not broken.
4. a kind of sandstone reservoir as claimed in claim 1 is without back-up sand hydraulic fracture flow conductivity defining method, it is characterized in that: wall particle protruding number in described crack can regard the granule number that crack wall particle embeds stratum half as.
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CN108005630A (en) * 2016-10-31 2018-05-08 中国石油天然气股份有限公司 Method and device for acquiring channel fracturing fracture flow guide information
CN109992920A (en) * 2019-04-12 2019-07-09 河海大学 A kind of construction method of the underground medium geometrical model of void space mechanical periodicity
CN110083893A (en) * 2019-04-12 2019-08-02 河海大学 A kind of construction method and construction device of the regular porous medium geometrical model of two dimension
CN111028959A (en) * 2019-12-17 2020-04-17 西南石油大学 Crack flow conductivity prediction method considering rock elasticity-plasticity-creep deformation
CN112434413A (en) * 2020-11-18 2021-03-02 中国石油大学(华东) Method for determining hydraulic fracture support fracture conductivity
CN112761607A (en) * 2021-02-05 2021-05-07 西南石油大学 Interactive sand-filled fracture conductivity calculation method for intersection of hydraulic fracture and natural fracture
CN113204928A (en) * 2021-06-17 2021-08-03 河北省煤田地质局第二地质队 Method for calculating heat-induced flow conductivity of micro-cracks of hot dry rock mass
CN113283197A (en) * 2021-06-10 2021-08-20 西南石油大学 Sand feeding parameter design method based on complex fracture width distribution
CN113642273A (en) * 2021-09-23 2021-11-12 西南石油大学 Method for predicting long-term flow conductivity of supporting fracture
CN114017017A (en) * 2021-11-11 2022-02-08 西南石油大学 Multi-scale crack plugging condition evaluation and experiment method
CN116776556A (en) * 2023-05-19 2023-09-19 四川大学 Method, device, equipment and medium for determining equivalent porosity of propping agent laid fracture
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